Pith Number

pith:HFQ2E2P4

pith:2024:HFQ2E2P4E5WXF3XLAS7ENORKEZ

not attested not anchored not stored refs pending

A phase-field fracture model in thermo-poro-elastic media with micromechanical strain energy degradation

Fengshou Zhang, Hanzhang Li, Keita Yoshioka, Tao You, Yuhao Liu

arxiv:2404.15322 v1 · 2024-04-05 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFQ2E2P4E5WXF3XLAS7ENORKEZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T08:11:25.837851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3961a269fc276d72eeeb04be46ba2a2650d6714fa1c1c10c5b0d15db2df43889

Aliases

arxiv: 2404.15322 · arxiv_version: 2404.15322v1 · doi: 10.48550/arxiv.2404.15322 · pith_short_12: HFQ2E2P4E5WX · pith_short_16: HFQ2E2P4E5WXF3XL · pith_short_8: HFQ2E2P4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HFQ2E2P4E5WXF3XLAS7ENORKEZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3961a269fc276d72eeeb04be46ba2a2650d6714fa1c1c10c5b0d15db2df43889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f05f22c7f675aad2491c938e2eaf5d58e7aef3f8d315bbcbb849c24be830269d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-04-05T10:21:01Z",
    "title_canon_sha256": "9e5495d6da314f9b3f4b91ad4ee5cf7d35df03dc5efe68673722f7aac05606ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.15322",
    "kind": "arxiv",
    "version": 1
  }
}